Question

According to the empirical rule, approximately what percentage of the area under a normal distribution lies...

According to the empirical rule, approximately what percentage of the area under a normal distribution lies within 1 standard deviation? % Within 2 standard deviations? % Within 3 standard deviations? %

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

There is no calculation required for this answer.

According to empirical formula, we know that 68% of the data fall within 1 standard deviation of the mean, 95% of the data fall within 2 standard deviation of the mean and 99.7% of the data fall within 3 standard deviation of the mean.

This image shows the percent wise distribution of data according to the empirical rule

According to the empirical rule, approximately 68 percentage of the area under a normal distribution lies within 1 standard deviation, 95% Within 2 standard deviations and 99.7 % Within 3 standard deviations.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
According to the empirical rule for a normal distribution... 99% of cases fall within 1 standard...
According to the empirical rule for a normal distribution... 99% of cases fall within 1 standard deviation of the mean 88 cases fall within 2 standard deviations of the mean approximately 95% of cases fall withing 2 standard deviations of the mean 100% of cases fall withing 3 standard deviations of the mean
According to the Empirical rule, sometimes called the Normal rule, for a symmetrical, bell shaped distribution...
According to the Empirical rule, sometimes called the Normal rule, for a symmetrical, bell shaped distribution of data, we will find that approximately what percent of observations are contained within plus and minus one standard deviation of the mean A. 50 B. 68 C. 75 D. 95
3. Under any normal distribution of scores, what percentage of the total area falls… Between the...
3. Under any normal distribution of scores, what percentage of the total area falls… Between the mean and a score that is one standard deviation above the mean Between the mean and two standard deviations below the mean Within one standard deviation of the mean Within two standard deviations of the mean
1. the area under the normal distribution curve that lies within one standard deviation of the...
1. the area under the normal distribution curve that lies within one standard deviation of the mean is approxiamtely ____%. 2. for a normal distribution curve with a mean of 10 and a standard deviation of 5, what is the range of the variable thay defines the area under the curve correaponding to a probability of approximately 68%? true or false: 3. a probability can be greater than one, but not equal to zero. 4. quartiles are used in box...
1. About ____ % of the area under the curve of the standard normal distribution is...
1. About ____ % of the area under the curve of the standard normal distribution is between z = − 1.863 z = - 1.863 and z = 1.863 z = 1.863 (or within 1.863 standard deviations of the mean). 2. About ____ % of the area under the curve of the standard normal distribution is outside the interval z=[−2.24,2.24]z=[-2.24,2.24] (or beyond 2.24 standard deviations of the mean). 3. About ____ % of the area under the curve of the...
1. The area under the standard normal that lies to the left of 2.24 2. The...
1. The area under the standard normal that lies to the left of 2.24 2. The area under the standard normal that lies to the left of -1.56 3. The area under the standard normal that lies to the right of 4.2   4. The area under the standard normal that lies to the right of -1.07   5. The area under the standard normal that lies between 1.48 and 2.72  
What is the empirical rule? A rule for determining the average of a normal distribution based...
What is the empirical rule? A rule for determining the average of a normal distribution based on the standard deviation. A rough estimate of how different the sample and population means should be for the result to be statistically significant. A guideline of how one should gather empirical data. A calculation rule for the confidence interval. None of these
Find the indicated area under the curve of the standard normal​ distribution; then convert it to...
Find the indicated area under the curve of the standard normal​ distribution; then convert it to a percentage and fill in the blank. About​ ______% of the area is between zequals=minus−3.5 and zequals=3.5 ​(or within 3.5 standard deviations of the​ mean). About nothing​% of the area is between zequals=minus−3.5 and zequals=3.5 ​(or within 3.5 standard deviations of the​ mean).
Please explain how you compute these answers given for A,B,C. Objective:Apply the empirical rule and the...
Please explain how you compute these answers given for A,B,C. Objective:Apply the empirical rule and the Chebyshev rule. Consider a population of 1024 mutual funds that primarily invest in large companies You have determined that p, the mean one-year total percentage return achieved by all the funds, is 9.20 and that o, the standard deviation, is 1 25. Complete (a) through (c) a. According to the empirical rule, what percentage of these funds is expected to be within ±3 standard...
According to the 68-95-99.7 Rule for normal distributions approximately _____% of all values are within 1...
According to the 68-95-99.7 Rule for normal distributions approximately _____% of all values are within 1 standard deviation of the mean
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT